153116535451664 has 80 divisors (see below), whose sum is σ = 307325188262400. Its totient is φ = 73814265004032.

The previous prime is 153116535451643. The next prime is 153116535451703. The reversal of 153116535451664 is 466154535611351.

It is a happy number.

153116535451664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4605407489 + ... + 4605440735.

It is an arithmetic number, because the mean of its divisors is an integer number (3841564853280).

Almost surely, 2^{153116535451664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153116535451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153662594131200).

153116535451664 is an abundant number, since it is smaller than the sum of its proper divisors (154208652810736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153116535451664 is a wasteful number, since it uses less digits than its factorization.

153116535451664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46960 (or 46954 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 56.

The spelling of 153116535451664 in words is "one hundred fifty-three trillion, one hundred sixteen billion, five hundred thirty-five million, four hundred fifty-one thousand, six hundred sixty-four".